264 citations · 524 across the 11 of their papers we have counts for
5 papers · 1 filter
Orthogonal Polynomials from Hermitian Matrices
Satoru Odake, Ryu Sasaki
A unified theory of orthogonal polynomials of a discrete variable is presented through the eigenvalue problem of hermitian matrices of finite or infinite dimensions. It can be cons…
q-oscillator from the q-Hermite Polynomial
Satoru Odake, Ryu Sasaki
By factorization of the Hamiltonian describing the quantum mechanics of the continuous q-Hermite polynomial, the creation and annihilation operators of the q-oscillator are obtaine…
Quasi Exactly Solvable Difference Equations
Ryu Sasaki
Several explicit examples of quasi exactly solvable `discrete' quantum mechanical Hamiltonians are derived by deforming the well-known exactly solvable Hamiltonians of one degree o…
Interpolation of SUSY quantum mechanics
Satoru Odake, Yamac Pehlivan, Ryu Sasaki
Interpolation of two adjacent Hamiltonians in SUSY quantum mechanics , is discussed together with related operators. For a wide…
Deformed multi-variable Fokker-Planck equations
Choon-Lin Ho, Ryu Sasaki
In this paper new multi-variable deformed Fokker-Planck (FP) equations are presented. These deformed FP equations are associated with the Ruijsenaars-Schneider-van Diejen (RSvD) ty…